Zaymiey

📐 Mathematics  ·  Permutations and Combinations  ·  JEE

In how many ways can 8 people be arranged in 2 rows of 4?

Answer: 8! = 40320.

  • A 8! = 40320
  • B 8!/(4!)
  • C 8P4
  • D 4! × 4!

Correct answer: A. 8! = 40320

Explanation: All 8 in 2 rows of 4 is still 8! since specific positions matter. But if rows are 4 fixed positions each: 8P8 = 8! = 40320.

StartABCBCACAB6 ordered outcomes (permutations); pairing AB/BA etc gives 3 combinations

Counting tree for selecting 2 items from {A, B, C} without repetition: 3 x 2 = 6 ordered arrangements.

Concept context

Counting, arrangements, and selections

Read the full Permutations and Combinations notes →